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» Packing Cycles in Graphs
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COMBINATORICA
2010
14 years 7 months ago
The homology of a locally finite graph with ends
We show that the topological cycle space of a locally finite graph is a canonical quotient of the first singular homology group of its Freudenthal compactification, and we charact...
Reinhard Diestel, Philipp Sprüssel
JGAA
2006
127views more  JGAA 2006»
15 years 8 days ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...
COCO
2010
Springer
131views Algorithms» more  COCO 2010»
14 years 9 months ago
On the Matching Problem for Special Graph Classes
An even cycle in a graph is called nice by Lov
Thanh Minh Hoang
TPDS
2010
109views more  TPDS 2010»
14 years 10 months ago
Minimal Sets of Turns for Breaking Cycles in Graphs Modeling Networks
Abstract—We propose an algorithm that provides for deadlockfree and livelock-free routing, in particular in wormhole routed networks. The proposed algorithm requires nearly minim...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa
DM
2008
95views more  DM 2008»
15 years 11 days ago
Forbidden subgraphs and the existence of paths and cycles passing through specified vertices
In [2], Duffus et al. showed that every connected graph G which contains no induced subgraph isomorphic to a claw or a net is traceable. And they also showed that if a 2-connected...
Jun Fujisawa, Katsuhiro Ota, Takeshi Sugiyama, Mas...